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Finding the Fourth Proportional to 91,642,978,814.40, 137,464,468,221.60 and 91,642,978,814.40

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Solution

The fourth proportional to 91,642,978,814.40, 137,464,468,221.60 and 91,642,978,814.40 is: 137,464,468,221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,642,978,814.40 : 137,464,468,221.60 = 91,642,978,814.40 : x
  2. Step 2: Convert to fraction form
    91,642,978,814.40/137,464,468,221.60 = 91,642,978,814.40/x
  3. Step 3: Cross multiply
    91,642,978,814.40x = 137,464,468,221.60 × 91,642,978,814.40
  4. Step 4: Simplify right side
    91,642,978,814.40x = 12,597,653,348,964,850,728,960
  5. Step 5: Solve for x
    x = 12,597,653,348,964,850,728,960/91,642,978,814.40
  6. Step 6: Final answer
    x = 137,464,468,221.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.